GCF of 5268/298, 7464/3616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5268/298, 7464/3616 i.e 12/538784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5268/298, 7464/3616.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5268/298,7464/3616?
Given fractions are 5268/298,7464/3616
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5268/298,7464/3616, numerators are 5268,7464
Denominators are 298,3616
The GCF of 5268,7464 is 12 .
LCM of 298,3616 is 538784.
The greatest common factor of 5268/298,7464/3616 = [GCF of 5268,7464]/[LCM of 298,3616]= 12/538784
Therefore, the GCF of 5268/298,7464/3616 is 12/538784.
To find the highest common factor of 5268,7464, we have to find the factors of both numbers and list the highest common factor.
The factors of 5268 are 1, 2, 3, 4, 6, 12, 439, 878, 1317, 1756, 2634, 5268
The factors of 7464 are 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464
The HCF of 5268,7464 is 12.
Lets's calculate GCF of 5268,7464
| 2 | 5268, 7464 |
| 2 | 2634, 3732 |
| 3 | 1317, 1866 |
| 439, 622 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5268,7464 By Matching Biggest Common Factor Method
Now, list down the factors of 5268
:1,2,3,4,6,12,439,878,1317,1756,2634,5268
Now, list down the factors of 7464
:1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464
Greatest Common Factor
We found the factors 5268,7464 . The biggest common factor number is the GCF number.
So the greatest common factor 5268,7464 is 12.
Lets's calculate LCM of 298,3616
| 2 | 298, 3616 |
| 149, 1808 |
∴ So the LCM of the given numbers is 2 x 149 x 1808 = 538784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/538784
Therefore, the GCF of Fractions 5268/298,7464/3616 is 12/538784
Least Common Multiple of 298,3616 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 298,3616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,3616) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,3616) x common factors =2 x 1 = 2
LCM(298,3616) = ( 298 × 3616 ) / 2
LCM(298,3616) = 1077568 / 2
LCM(298,3616) = 538784
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FAQs on GCF of Fractions of 5268/298, 7464/3616
1. What is the HCF of 5268,7464?
The HCF of 5268,7464 is 12
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5268/298, 7464/3616?
Answer: GCF of Numerators as per given numbers 5268/298, 7464/3616 is
GCF of Numerators i.e. for 5268,7464 is 12
LCM of denominators i.e. for 298,3616 is 538784.
Thus, GCF of Fractions is 12/538784.Finally, GCF of Fractions for 5268/298, 7464/3616 is 12/538784.